Bring a large pot of salted water to a boil and cook the chickpea spaghetti until al dente, usually about 7-8 minutes.
While the pasta cooks, place the diced pancetta in a large skillet over medium heat and sauté until the fat renders and the meat is crispy.
Add the diced chicken breast and minced garlic to the skillet with the pancetta, cooking for 5-6 minutes until the chicken is golden and cooked through.
In a small mixing bowl, whisk together the large egg, liquid egg whites, and grated parmesan cheese until the mixture is smooth.
Stir the baby spinach into the skillet with the chicken and pancetta for 1 minute until it just begins to wilt.
Reserve 2 tablespoons of the pasta cooking water, then drain the spaghetti and add it directly to the skillet.
Turn off the heat completely and move the skillet to a cool burner; quickly pour in the egg mixture and reserved pasta water.
Toss the pasta constantly for 1-2 minutes so the residual heat creates a creamy sauce without curdling the eggs.
Season with sea salt and black pepper, then serve immediately while warm.